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ON IRREDUCIBILITY OF INDUCED MODULES AND AN ADAPTATION OF THE WIGNER-MACKEY METHOD OF LITTLE GROUPS
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 Title & Authors
ON IRREDUCIBILITY OF INDUCED MODULES AND AN ADAPTATION OF THE WIGNER-MACKEY METHOD OF LITTLE GROUPS
Venkataraman, Geetha;
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 Abstract
This paper deals with sufficiency conditions for irreducibility of certain induced modules. We also construct irreducible representations for a group G over a field where the group G is a semidirect product of a normal abelian subgroup N and a subgroup H. The main results are proved with the assumption that char does not divide |G| but there is no assumption made of being algebraically closed.
 Keywords
finite group;semidirect product;representations;induced modules;irreducibility;
 Language
English
 Cited by
 References
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G.W. Mackey, On induced representations of groups, Amer. J. Math. 73 (1951), 576-592. crossref(new window)

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J.-P. Serre, Linear Representations of Finite Groups, Springer-Verlag, New York Berlin Heidelberg, 1977.